Hi welcome to the forum, apart from being able to record subscription channels no, apart from say being able to set recordings remotely. In fact without some sort of subscription it can’t record at all 
Last time I checked it was £10.00 a month minimum. And by the way it will cost around £20.00 a year extra to run in your electricity bills.
HDR-1000s 0.5W in sby, Sky + about 22W.
The Humax box will of course give you HD, Sky+ is a SD box unless you mean a Sky-HD box.